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Gustav Kirchhoff was a German physicist, who presented two laws; Kirchhoff’s Current Law (KCL) and Kirchhoff’s Voltage Law (KVL). Ohm law is a very basic one, which may not be sufficient to analyze a complex circuit.
Mesh current Analysis provide a procedure for electric circuit analysis using mesh current as the circuit variable. The mesh analysis makes use of Kirchhoff’s Voltage Law as a basic key to analyze the circuit.
Nodal Voltage Analysis is the application of KCL at every node of the circuit. The nodal analysis uses the node voltage as a basic parameter.
Ohm law is the basis of the electrical engineering and used everywhere. The law gives relationships between current and voltage.